Abstract
An autoencoder that automatically generates an initial guess for the minimum energy pathway (MEP) calculations has been designed. Specifically, our autoencoder takes in the trajectories of molecular dynamics simulations as its input and facilitates the generation of feasible molecular coordinates. Two molecules (acetonitrile and alanine dipeptide) were tested using the nudged elastic band calculations and the results provided improvements over linear interpolation and image dependent pair potential methods in terms of the number of SCF iterations, demonstrating the utility of using an autoencoder type of an approach for MEP calculations.
Similar content being viewed by others
References
K. Fukui, Acc. Chem. Res., 14, 363 (1981).
H. B. Schlegel, J. Comput. Chem., 24, 1514 (2003).
K. J. Laidler and M. C. King, J. Phys. Chem., 87, 2657 (1983).
L. R. Pratt, J. Chem. Phys., 85, 5045 (1986).
R. Elber and M. Karplus, Chem. Phys. Lett., 139, 375 (1987).
E. Weinan, W. Ren and E. Vanden-Eijnden, Phys. Rev. B — Condens. Matter Mater. Phys., 66, 523011 (2002).
E. Weinan, W. Ren and E. Vanden-Eijnden, J. Chem. Phys., 126, 164103 (2007).
H. Jonsson, G. Mills and K. W. Jacobsen, in Classical and quantum dynamics in condensed phase simulations: Proceedings of the international school of physics, B. J. Berne, G. Ciccotti and D. F. Coker, World Scientific, Singapore (1998).
D. Sheppard, P. Xiao, W. Chemelewski, D. D. Johnson and G. Henkelman, J. Chem. Phys., 136, 074103 (2012).
G. Henkelman and H. Jónsson, J. Chem. Phys., 113, 9978 (2000).
D. Sheppard, R. Trrell, and G. Henkelman, J. Chem. Phys., 128, 1 (2008).
H. C. Herbol, J. Stevenson and P. Clancy, J. Chem. Theory Comput., 13, 3250 (2017).
L. R. Raber, Chem. Eng. News, 75, 39 (1997).
N. Govind, M. Petersen, G. Fitzgerald, D. King-Smith and J. Andzelm, Comput. Mater. Sci., 28, 250 (2003).
S. Smidstrup, A. Pedersen, K. Stokbro and H. Jonsson, J. Chem. Phys., 140, 214106 (2014).
E. Martínez-Núñez, J. Comput. Chem., 36, 222 (2015).
L. P. Wang, A. Titov, R. McGibbon, F. Liu, V. S. Pande and T. J. Martínez, Nat. Chem., 6, 1044 (2014).
L. P. Wang, R. T. McGibbon, V. S. Pande and T. J. Martinez, J. Chem. Theory Comput., 12, 638 (2016).
A. L. Dewyer, A. J. Argüelles and P. M. Zimmerman, Wiley Interdiscip. Rev. Comput. Mol. Sci., 8, 1 (2018).
X. Chen, Y. Duan, R. Houthooft, J. Schulman, I. Sutskever and P. Abbeel, Adv. Neural Inf. Process. Syst., 2180 (2016).
P. Upchurch, J. Gardner, G. Pleiss, R. Pless, N. Snavely, K. Bala and K. Weinberger, Proc. — 30th IEEE Conf. Comput. Vis. Pattern Recognition, CVPR 2017 2017-Janua, 6090 (2017).
D. Berthelot, I. Goodfellow, C. Raffel and A. Roy, 7th Int. Conf. Learn. Represent. ICLR 2019 (2019).
M. A. Kramer, AIChE J., 37, 233 (1991).
P. Vincent, H. Larochelle, I. Lajoie, Y. Bengio and P. A. Manzagol, J. Mach. Learn. Res., 11, 3371 (2010).
D. P. Kingma and M. Welling, 2nd Int. Conf. Learn. Represent. ICLR 2014 — Conf. Track Proc., 1 (2014).
S. Plimpton, J. Comput. Phys., 117, 1 (1997).
S. Plimpton and A. P. Thomson, MRS Bulletin, 37, 513 (2012).
A. K. Rappé, C. J. Casewit, K. S. Colwell, W. A. Goddard and W. M. Skiff, J. Am. Chem. Soc., 114, 10024 (1992).
G. Kresse and J. Hafner, Phys. Rev. B, 48, 13115 (1993).
G. Kresse, J. Furthmüller and J. Hafner, Phys. Rev. B, 50, 13181 (1994).
G. Kresse and J. Furthmuller, Phys. Rev. B, 54, 11169 (1996).
P. E. Blöchl, Phys. Rev. B, 50, 17953 (1994).
J. P. Perdew, K. Burke and M. Ernzerhof, Phys. Rev. Lett., 77, 3865 (1996).
E. Bitzek, P. Koskinen, F. Gähler, M. Moseler and P. Gumbsch, Phys. Rev. Lett., 97, 1 (2006).
G. Henkelman, B. P. Uberuaga and H. Jónsson, J. Chem. Phys., 113, 9901 (2000).
A. Larsen, J. J. Mortensen, J. Blomqvist, I. Castelli, R. Christensen, M. Dułak, J. Friis, M. N. Groves, B. Hammer and C. Hargus, J. Phys. Condens. Matter, 29, 273002 (2017).
W. Ren, E. Vanden-Eijnden, P. Maragakis and E. Weinan, J. Chem. Phys., 123, 134109 (2005).
A. Allouche, J. Comput. Chem., 32, 174 (2012).
P. G. Bolhuis, C. Dellago and D. Chandler, Proc. Natl. Acad. Sci. U.S.A., 97, 5877 (2000).
References
V. Nair and G. E. Hinton, Rectified Linear Units Improve Restricted Boltzmann Machines. In ICML 2010 — Proceedings, 27th International Conference on Machine Learning (2010).
F. Chollet, Keras: The python deep learning library, ascl, ascl: 1806.022 (2018).
M. Abadi, P. Barham, J. Chen, Z. Chen, A. Davis, J. Dean, M. Devin, S. Ghemawat, G. Irving, M. Isard, TensorFlow: A System for Large-Scale Machine Learning. In Proceedings of the 12th USE-NIX Symposium on Operating Systems Design and Implementation, OSDI 2016 (2016).
Acknowledgement
This work was supported by Samsung Research Funding & Incubation Center of Samsung Electronics under Project Number SRFC-MA1702-07.
Author information
Authors and Affiliations
Corresponding author
Supporting Information
Rights and permissions
About this article
Cite this article
Park, H., Lee, S. & Kim, J. Deep learning-based initial guess for minimum energy path calculations. Korean J. Chem. Eng. 38, 406–410 (2021). https://doi.org/10.1007/s11814-020-0704-1
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11814-020-0704-1